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58956290890 = 257415672
BaseRepresentation
bin110110111010000100…
…011001101101001010
312122011202122220000021
4312322010121231022
51431220302302030
643030101531054
74154664130000
oct667204315512
9178152586007
1058956290890
112300431aa52
12b514413a8a
135737458133
142bd4008a70
151800cda97a
hexdba119b4a

58956290890 has 60 divisors (see below), whose sum is σ = 123879899826. Its totient is φ = 20200685904.

The previous prime is 58956290881. The next prime is 58956290893. The reversal of 58956290890 is 9809265985.

58956290890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53060661801 + 5895629089 = 230349^2 + 76783^2 .

It is not an unprimeable number, because it can be changed into a prime (58956290893) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 37622887 + ... + 37624453.

Almost surely, 258956290890 is an apocalyptic number.

58956290890 is an abundant number, since it is smaller than the sum of its proper divisors (64923608936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58956290890 is an frugal number, since it uses more digits than its factorization.

58956290890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 61.

The spelling of 58956290890 in words is "fifty-eight billion, nine hundred fifty-six million, two hundred ninety thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1567 1715 2401 3134 3430 4802 7835 10969 12005 15670 21938 24010 54845 76783 109690 153566 383915 537481 767830 1074962 2455489 2687405 3762367 4910978 5374810 7524734 12277445 17188423 18811835 24554890 34376846 37623670 85942115 120318961 171884230 240637922 601594805 842232727 1203189610 1684465454 4211163635 5895629089 8422327270 11791258178 29478145445 58956290890